What is the Least Common Multiple of 78936 and 78954?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78936 and 78954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78936 and 78954, than apply into the LCM equation.

GCF(78936,78954) = 6
LCM(78936,78954) = ( 78936 × 78954) / 6
LCM(78936,78954) = 6232312944 / 6
LCM(78936,78954) = 1038718824

Least Common Multiple (LCM) of 78936 and 78954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78936 and 78954. First we will calculate the prime factors of 78936 and 78954.

Prime Factorization of 78936

Prime Factorization of 78954

Now multiplying the highest exponent prime factors to calculate the LCM of 78936 and 78954.

LCM(78936,78954) = 2³ × 3¹ × 11¹ × 13¹ × 23¹ × 13159¹
LCM(78936,78954) = 1038718824